拉普拉斯变换序及相关序的关系  

Relations between Laplace Transform Order and related orders

作　　者：胡文杰[1] 张晓冉[1] 温燕清[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《重庆工商大学学报（自然科学版）》2006年第6期535-538,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：随机变量之间的大小关系(即序关系)在实际问题中具有重要的意义.关于随机变量随机序的一般理论及其在各领域的应用已有比较丰富的研究结果.主要讨论了增加凸(凹)序、拉普拉斯变换序、矩母函数序、阶乘矩序以及矩序之间的关系,最后以两点分布为例简单证明了这种关系.The size relations between random variables （i. e. the ordering relationship） have important meaning. The theories and applications in every field of random varibles＇stochastic orders have comparatively abundant research conclusion. This paper investigated the relations among increasing convex [ concave ] order, Laplace transform order, moments generating function order, factorial moments order and moments order, in the end, takes the two point functions as an example to prove these relations.

关 键 词：增加凸(凹)序 拉普拉斯变换序 矩母函数序 阶乘矩序 矩序 

分 类 号：O211[理学—概率论与数理统计]